Modelling, simulation and experimental studies of the axially excited spatial double physical pendulum coupled by universal joints

• Autorzy: Awrejcewicz J. , Kudra G. , Ludwicki M.
• Konferencja: Jubilee Symposium Vibrations In Physical Systems (25 ; 15-19.05.2012 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

We are aimed on developing the physical and mathematical model of a novel, spatial, double physical pendulum being coupled by two universal joints. The active part of first joint is axially excited by a non-constant periodic torque. In addition, the influence of gravitational field and viscous damping force of joint's bearings is taken into account. The numerical simulation, as well as the experimental studies revealed a wide spectrum of nonlinear phenomena. Chaotic, quasi-periodic and periodic orbits are detected and studied.

Słowa kluczowe

EN

double spatial physical pendulum; chaotic dynamics; universal joint; computer simulation

PL

wahadło fizyczne; dynamika chaotyczna; łącznik uniwersalny; symulacja komputerowa

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2012
• Tom: Vol. 25
• Strony: 47--52
• Opis fizyczny: Bibliogr. 7 poz., il., wykr.

Twórcy

autor

Awrejcewicz J.

• Department of Automation and Biomechanics, Technical University of Lodz, 1/15 Stefanowski St., 90-924 Lodz, Poland

autor

Kudra G.

• Department of Automation and Biomechanics, Technical University of Lodz, 1/15 Stefanowski St., 90-924 Lodz, Poland

autor

Ludwicki M.

• Department of Automation and Biomechanics, Technical University of Lodz, 1/15 Stefanowski St., 90-924 Lodz, Poland

Bibliografia

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• 2. M. Rossi, L. Zaninetti, The cubic period-distance relation for the Kater reversible pendulum, Central European Journal of Physics, 3(4) (2005) 636-659.
• 3. S.-T. Wu, Active pendulumvibration absorbers with a spinning support, Journal of Sound and Vibration, 323(1-2), (2009) 1-16.
• 4. O. Gottlieb, G. Habib, Non-linear model-based estimation of quadratic and cubic damping mechanisms governing the dynamics of a chaotic spherical pendulum, Journal of Vibration and Control, doi: 10.1177/1077546310395969 (2011).
• 5. J. Shen, A.K. Sanyal, N.A. Chaturvedi, D. Bernstein, H. McClamroch, Dynamics and control of a 3D pendulum, 43rd IEEE CDC, 1 (2004) 323-328.
• 6. J. Awrejcewicz, G. Kudra, G. Wasilewski, Chaotic zones in triple pendulum dynamics observed experimentally and numerically, Applied Mechanics and Materials, 9 (2008) 1-17.
• 7. J.E. Marsden, J. Scheurle, Lagrangian reduction and the double spherical pendulum, Z. Angew. Math. Phys., 44(1) (1993) 17-43.